Electric and Magnetic Monopoles from a Lorentz-Covariant Hamiltonian

In previous work we generalized the relation between the usual noncovariantHamiltonian and the Poisson brackets to a covariant Hamiltonian and new bracketsin the frame of Minkowski space. In the present paper we study the consequencesof this new algebraic structure on the Lorentz Lie algebra defined in terms ofthese brackets. We show how a monopole with a dual electric—magnetic chargeappears as a consequence of the conservation of the form of the standard Lorentzalgebra symmetry. The breakdown of this symmetry is also envisaged.